6(5-3u)=(-4u-12)

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Solution for 6(5-3u)=(-4u-12) equation:


Simplifying
6(5 + -3u) = (-4u + -12)
(5 * 6 + -3u * 6) = (-4u + -12)
(30 + -18u) = (-4u + -12)

Reorder the terms:
30 + -18u = (-12 + -4u)

Remove parenthesis around (-12 + -4u)
30 + -18u = -12 + -4u

Solving
30 + -18u = -12 + -4u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '4u' to each side of the equation.
30 + -18u + 4u = -12 + -4u + 4u

Combine like terms: -18u + 4u = -14u
30 + -14u = -12 + -4u + 4u

Combine like terms: -4u + 4u = 0
30 + -14u = -12 + 0
30 + -14u = -12

Add '-30' to each side of the equation.
30 + -30 + -14u = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -14u = -12 + -30
-14u = -12 + -30

Combine like terms: -12 + -30 = -42
-14u = -42

Divide each side by '-14'.
u = 3

Simplifying
u = 3

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